The measures of four interior angles of a pentagon are 63º, 119º, 125º, and 116º. which is the measure of the fifth interior angle?

The sum of interior angles of a pentagon is given by:

(n-2) * 180

where

n=number of sides

thus the sum of angles in a pentagon will be:

(5-2) * 180

=540

hence to evaluate the missing angles we shall proceed as follows:

sum of the given angles is:

63+119+125+116

=423

thus the missing angle, x, will be:

x+423=540

x=540-423

x=117°